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Finding the Fourth Proportional to 2,276.80, 3,414.40 and 1,180.80

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Solution

The fourth proportional to 2,276.80, 3,414.40 and 1,180.80 is: 1,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.80 : 3,414.40 = 1,180.80 : x
  2. Step 2: Convert to fraction form
    2,276.80/3,414.40 = 1,180.80/x
  3. Step 3: Cross multiply
    2,276.80x = 3,414.40 × 1,180.80
  4. Step 4: Simplify right side
    2,276.80x = 4,031,723.52
  5. Step 5: Solve for x
    x = 4,031,723.52/2,276.80
  6. Step 6: Final answer
    x = 1,770.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.